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107137728011 is a prime number
BaseRepresentation
bin110001111000111100…
…1111111111000001011
3101020112121112111100102
41203301321333320023
53223404224244021
6121115101200015
710511654443106
oct1436171777013
9336477474312
10107137728011
11414894aa876
121892026000b
13a145508842
145284dcd73d
152bc0bac00b
hex18f1e7fe0b

107137728011 has 2 divisors, whose sum is σ = 107137728012. Its totient is φ = 107137728010.

The previous prime is 107137727993. The next prime is 107137728037. The reversal of 107137728011 is 110827731701.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 107137728011 - 234 = 89957858827 is a prime.

It is a super-2 number, since 2×1071377280112 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (107137728041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53568864005 + 53568864006.

It is an arithmetic number, because the mean of its divisors is an integer number (53568864006).

Almost surely, 2107137728011 is an apocalyptic number.

107137728011 is a deficient number, since it is larger than the sum of its proper divisors (1).

107137728011 is an equidigital number, since it uses as much as digits as its factorization.

107137728011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16464, while the sum is 38.

The spelling of 107137728011 in words is "one hundred seven billion, one hundred thirty-seven million, seven hundred twenty-eight thousand, eleven".